For the kinetics scheme A → B → C, each step being first-order, for reaction occurring in a constant- volume batch reactor (only A present initially), (a) At what time, t, in terms of k₁ and k2, are Cд and CB equal (other than t→), and what is the condition for this to happen? (b) What is the value oft, when k₁ = k₂? (c) Show that CB has an inflection point at 2 tmax. (d) Calculate k₁ tmax and CBmax/CAo for each of the cases (i) K = K2/k1= 10, (ii) K = 1, and (iii) K = 0.1. (e) From the results in (d), describe how tmax and CBmax/CAo change with decreasing K.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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For the kinetics scheme A → B → C, each step being first-order, for reaction occurring in a constant-
volume batch reactor (only A present initially),
(a) At what time, t, in terms of k₁ and k2, are Cд and CB equal (other than t→), and what is the
condition for this to happen?
(b) What is the value oft, when k₁ = k₂?
(c) Show that CB has an inflection point at 2 tmax.
(d) Calculate k₁ tmax and CBmax/CAo for each of the cases (i) K = K2/k1= 10, (ii) K = 1, and (iii) K = 0.1.
(e) From the results in (d), describe how tmax and CBmax/CAo change with decreasing K.
Transcribed Image Text:For the kinetics scheme A → B → C, each step being first-order, for reaction occurring in a constant- volume batch reactor (only A present initially), (a) At what time, t, in terms of k₁ and k2, are Cд and CB equal (other than t→), and what is the condition for this to happen? (b) What is the value oft, when k₁ = k₂? (c) Show that CB has an inflection point at 2 tmax. (d) Calculate k₁ tmax and CBmax/CAo for each of the cases (i) K = K2/k1= 10, (ii) K = 1, and (iii) K = 0.1. (e) From the results in (d), describe how tmax and CBmax/CAo change with decreasing K.
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